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(3 = 3²), and find u(x,t) for the following wave: and Solve the wave equation (²) u(0,t) = u(1, t) = 0, t> 0 du u(x, 0) = 0.2 sin(37x), = 0 at t = 0., 0

(3 = 3²), and find u(x,t) for the following wave: and Solve the wave equation (²) u(0,t) = u(1, t) = 0, t> 0 du u(x, 0) = 0.2 sin(37x), = 0 at t = 0., 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the wave equation (²) = ax² ət² u(0,t) = u(1,t) = 0, t>0 Ju u(x, 0) = 0.2 sin(37x), = 0 at t = 0., 0<x< 1 m ət Ou(x, t) = 0.2 cosnt sin 37x Ou(x, t) = 0.2 cos лt sin nx Ou(x, t) = 0.2 cos 3nt sin nx 1 , and find u(x,t) for the following wave: and u(x, t) = 0.2 cos 3nt sin 3nx
Transcribed Image Text:Solve the wave equation (²) = ax² ət² u(0,t) = u(1,t) = 0, t>0 Ju u(x, 0) = 0.2 sin(37x), = 0 at t = 0., 0<x< 1 m ət Ou(x, t) = 0.2 cosnt sin 37x Ou(x, t) = 0.2 cos лt sin nx Ou(x, t) = 0.2 cos 3nt sin nx 1 , and find u(x,t) for the following wave: and u(x, t) = 0.2 cos 3nt sin 3nx
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